data["z"] = [
        3.52941176, 3.59477124, 3.66013072, 3.7254902, 3.79084967, 3.85620915, 3.92156863, 3.9869281, 4.05228758, 4.11764706, 4.18300654, 4.24836601,
        4.31372549, 4.37908497, 4.44444444, 4.50980392, 4.5751634, 4.64052288, 4.70588235, 4.77124183, 4.83660131, 4.90196078, 4.96732026, 5.03267974,
        5.09803922, 5.16339869, 5.22875817, 5.29411765, 5.35947712, 5.4248366, 5.49019608, 5.55555556, 5.62091503, 5.68627451, 5.75163399, 5.81699346,
        5.88235294, 5.94771242, 6.0130719, 6.07843137, 6.14379085, 6.20915033, 6.2745098, 6.33986928, 6.40522876, 6.47058824, 6.53594771, 6.60130719,
        6.66666667, 6.73202614, 6.79738562, 6.8627451, 6.92810458, 6.99346405, 7.05882353, 7.12418301, 7.18954248, 7.25490196, 7.32026144, 7.38562092,
        7.45098039, 7.51633987, 7.58169935, 7.64705882, 7.7124183, 7.77777778, 7.84313725, 7.90849673, 7.97385621, 8.03921569, 8.10457516, 8.16993464,
        8.23529412, 8.30065359, 8.36601307, 8.43137255, 8.49673203, 8.5620915, 8.62745098, 8.69281046, 8.75816993, 8.82352941, 8.88888889, 8.95424837,
        9.01960784, 9.08496732, 9.1503268, 9.21568627, 9.28104575
]
data["phi"] = [
        0.48263892, 0.46847054, 0.4714874, 0.48591509, 0.51040552, 0.53598067, 0.56267706, 0.58498049, 0.59977145, 0.60031748, 0.58624166, 0.56174173,
        0.53426057, 0.509705, 0.4888078, 0.47488575, 0.47056246, 0.47782834, 0.49626801, 0.5220363, 0.55238025, 0.57959657, 0.59706194, 0.60093558, 0.58978187,
        0.56732025, 0.53939856, 0.51287378, 0.49160912, 0.47659931, 0.47082288, 0.47597072, 0.48967621, 0.50997356, 0.53468984, 0.55999317, 0.57936371,
        0.58755166, 0.58160276, 0.56252973, 0.53565769, 0.50642531, 0.47788285, 0.45327503, 0.43469023, 0.4241803, 0.42192684, 0.42522825, 0.43212707,
        0.44008254, 0.44588751, 0.44609598, 0.43696043, 0.41704543, 0.38752244, 0.35152491, 0.31195843, 0.27101325, 0.23126672, 0.19514984, 0.16476607,
        0.14068565, 0.12230224, 0.10880492, 0.09960851, 0.093693, 0.08953243, 0.08574063, 0.08152004, 0.07667357, 0.07136525, 0.06566864, 0.05953419,
        0.05305107, 0.04657345, 0.04032142, 0.0344654, 0.02907076, 0.02417128, 0.01982746, 0.0160577, 0.01286564, 0.01019103, 0.00795038, 0.00610958,
        0.00460882, 0.00340616, 0.00247664, 0.00175582
]
data["vx"] = [
        1.07462110e-04, 1.26205960e-04, 1.47497370e-04, 1.70129840e-04, 1.86680820e-04, 2.01446680e-04, 2.13428880e-04, 2.22665280e-04, 2.30917490e-04,
        2.40678240e-04, 2.53443320e-04, 2.71736160e-04, 2.96803020e-04, 3.26814780e-04, 3.63950050e-04, 4.11257000e-04, 4.72387450e-04, 5.46002430e-04,
        6.22925620e-04, 6.97583130e-04, 7.60001890e-04, 8.14887830e-04, 8.64321370e-04, 9.12915780e-04, 9.64978730e-04, 1.03418030e-03, 1.12773390e-03,
        1.25234990e-03, 1.41705290e-03, 1.63887100e-03, 1.92007160e-03, 2.24635510e-03, 2.60995630e-03, 2.98971530e-03, 3.36057250e-03, 3.70791050e-03,
        4.03985670e-03, 4.36419490e-03, 4.70595160e-03, 5.11372630e-03, 5.64977940e-03, 6.38736670e-03, 7.45033160e-03, 8.90824820e-03, 1.08317940e-02,
        1.32052020e-02, 1.58711930e-02, 1.86987040e-02, 2.15250530e-02, 2.42468160e-02, 2.68823280e-02, 2.94905600e-02, 3.22606120e-02, 3.54093570e-02,
        3.91735500e-02, 4.38063460e-02, 4.96400070e-02, 5.72566630e-02, 6.75188460e-02, 8.12809790e-02, 9.91832700e-02, 1.21347990e-01, 1.47153590e-01,
        1.75209750e-01, 2.02625300e-01, 2.26903470e-01, 2.47706280e-01, 2.65891120e-01, 2.82542580e-01, 2.97899630e-01, 3.11397220e-01, 3.23170270e-01,
        3.33744990e-01, 3.43704690e-01, 3.52772910e-01, 3.60953170e-01, 3.68383250e-01, 3.75238750e-01, 3.81481910e-01, 3.87145810e-01, 3.92382070e-01,
        3.97223500e-01, 4.01420850e-01, 4.05337610e-01, 4.09274530e-01, 4.13408550e-01, 4.17189150e-01, 4.20424550e-01, 4.23344050e-01
]

data["qsx"] = [data['phi'][i] * data['vx'][i] for i in range(len(data['phi']))]
